Solve for x: −4(3x+10)−2=54.(1 point) Responses x=−8 x equal negative 8 x=4 x equals 4 x=8 x equals 8 x=−4

Answer 1

To solve the equation \( -4(3x + 10) - 2 = 54 \), we will follow these steps:

1. Distribute the \(-4\) in the equation: \[ -4 \cdot 3x - 4 \cdot 10 - 2 = 54 \] This simplifies to: \[ -12x - 40 - 2 = 54 \]

2. Combine like terms: \[ -12x - 42 = 54 \]

3. Add \(42\) to both sides of the equation: \[ -12x = 54 + 42 \] Simplifying gives: \[ -12x = 96 \]

4. Now, divide both sides by \(-12\): \[ x = \frac{96}{-12} \] This simplifies to: \[ x = -8 \]

So, the solution is \( x = -8 \).

The correct responses are:

• x = -8
• x equal negative 8

Both are correct.